This article for teachers outlines issues to consider when developing an environment in which problem solving can thrive and links to a range of related NRICH tasks.
L triominoes can fit together to make larger versions of themselves. Is every size possible to make in this way?
Find the relationship between the locations of points of inflection, maxima and minima of functions.
Can you deduce which Olympic athletics events are represented by the graphs?
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
Is there a quick way to work out whether a fraction terminates or recurs when you write it as a decimal?
Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...
Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Which pairs do not let this happen? Why?
This page contains a list of book recommendations for young people who are interested in mathematics.
